English

TMDs in Laguerre polynomial basis

High Energy Physics - Phenomenology 2014-07-04 v1

Abstract

We suggest modification of the standard approach to TMDs. The modification consists in the consideration of the small bTb_T operator product expansion in the different operator basis. Instead of power expansion we suggest to use the Laguerre polynomial expansion. Within such a scheme the first term of OPE saturates TMDs in the wider range of bTb_T in comparison to the power expansion that decreases the significance of non-perturbative factor at small bTb_T. The presented modification does not violate any TMD properties and can be used within any formulation of TMD factorization.

Cite

@article{arxiv.1407.0965,
  title  = {TMDs in Laguerre polynomial basis},
  author = {A. A. Vladimirov},
  journal= {arXiv preprint arXiv:1407.0965},
  year   = {2014}
}

Comments

7 pages, 3 figures. Presented at the XXII. International Workshop on Deep-Inelastic Scattering and Related Subjects (DIS 2014), Warsaw, Poland, 28 April - 2 May 2014. To appear in the proceedings

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